Search a number
-
+
85804215705 = 3451316297097
BaseRepresentation
bin100111111101001010…
…1000110110110011001
322012110211202210010000
41033322111012312121
52401211334400310
6103230134043213
76125210541165
oct1177225066631
9265424683100
1085804215705
113343127426a
12147677a9509
138125791390
14421d981ca5
152372d314c0
hex13fa546d99

85804215705 has 40 divisors (see below), whose sum is σ = 165643704072. Its totient is φ = 42242072832.

The previous prime is 85804215667. The next prime is 85804215767. The reversal of 85804215705 is 50751240858.

85804215705 is a `hidden beast` number, since 8 + 58 + 0 + 4 + 21 + 570 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 85803883929 = 576^2 + 292923^2 .

It is not a de Polignac number, because 85804215705 - 27 = 85804215577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8143284 + ... + 8153813.

Almost surely, 285804215705 is an apocalyptic number.

It is an amenable number.

85804215705 is a deficient number, since it is larger than the sum of its proper divisors (79839488367).

85804215705 is a wasteful number, since it uses less digits than its factorization.

85804215705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16297127 (or 16297118 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 85804215705 in words is "eighty-five billion, eight hundred four million, two hundred fifteen thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 16297097 48891291 81485485 146673873 211862261 244456455 440021619 635586783 733369365 1059311305 1320064857 1906760349 2200108095 3177933915 5720281047 6600324285 9533801745 17160843141 28601405235 85804215705